Question

Can someone help me find the measure of each numbered angles? Please help ASAP!

Answer 1

Answer:

A. 157

B. Angles 1 &2 = 129

    Angle 3 =51

C. Angle 1 =132

    Angle 2 =48

    Angle 3=132

Step-by-step explanation:

The interior angles of polygons add to 360 degree.

For A, your equation looks like:

65+81+57+x=360

203+x=360

subtract 203 from each side

x=157

For B

Because the two sides are congruent, so are the corresponding angles.

So angle 3 is congruent to 51 and angles 1 and 2 will be congruent to each other.

51+51+2x=360

102+2x=360

subtract 102 from each side

2x=258

divide by 2 on each side

x=129

For C

Angle 3 forms a linear pair with 48, so together they must equal 180.

180-48=132.

Because all sides are congruent in the figure, the opposite angles are equal.

Angle 2 is congruent to 48 and Angle 1 is congruent to Angle 3 which we determined was 132.

132+132+48+48=360

Answer 2

Answer:For the first shape 1 = 157

For the second shape 1 and 2 equal 129, 3 = 51

Third shape 1 and 3 = 132, 2 = 48

Step-by-step explanation:

All angles add up to 360

For first shape 360-(81+65+57)=157

For second shape 1 and 2 are equal angles and angle 3 = 51

(360-(51*2))/2 = 129

For the third shape 1 and 3 are equal angles and angle 2 = 48

(360-(48*2))/2=132